Answer:
<u>complete question:</u>
If the height and base of the parallelogram shown are each decreased by 2 cm, what is the area of the new parallelogram?
A parallelogram with a base of 10 centimetres and a height of 8 centimetres
area = 48 cm²
Step-by-step explanation:
A parallelogram is quadrilateral with 4 sides formed by 2 pair of parallel lines. The area of a parallelogram is represented as follows :
area of parallelogram = B × H
where
B = breadth
H = height
According to the question the height and the base each reduced by 2 cm.
The new base = 10 - 2 = 8 cm
The new height = 8 - 2 = 6 cm
area = B × H
area = 8 × 6
area = 48 cm²
Answer: D, 25 and 41
Step-by-step explanation:
Answer:
0.267
Step-by-step explanation:
0.2666666666666667
It is called the hardy Ramanujan's number, named after the Indian mathematician, Srinivasa Ramanujan, and British Mathematician G. H Hardy.
Hardy went to visit Ramanujan while he was ill. He noticed that the number of the taxi he went in was 1729, which he thought was a dull number.
1729 = 12³ + 1³
1729 = 10³ + 9³
Fujiwara claimed that he proved there are only four numbers that have the property. Even though it seems to be true, he never has shown his proof. No other natural number, other than 1729, can be expressed as a sum of the cubes of two natural numbers in two different ways.
The line through (a,b) and (c,d) is
(c-a)(y-b) = (d-b)(x-a)
Picking the last two points,
(-2 - -6)(y - -21) = (-14 - -21)(x - -6)
4(y+21) = 7(x+6)
When x=0
4y + 84 = 42
4y = -42
y = -21/2
Answer: -21/2
We never used the first point, let's check it's on the line
4(y+21) = 7(x+2)
4(-28 + 21) = -28
7(-10 + 6) = -28, good
